Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation
Musical symbols are a good way of expressing human emotions and communication. It is a kind of nonlinear dynamic system with hysteresis. It isn’t easy to analyze its nonlinear characteristics by conventional methods. This paper divides it into several parts from the form of music. Secondly, this pap...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-07-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2023.1.00276 |
| _version_ | 1797266116014243840 |
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| author | Ma Chunyu |
| author_facet | Ma Chunyu |
| author_sort | Ma Chunyu |
| collection | DOAJ |
| description | Musical symbols are a good way of expressing human emotions and communication. It is a kind of nonlinear dynamic system with hysteresis. It isn’t easy to analyze its nonlinear characteristics by conventional methods. This paper divides it into several parts from the form of music. Secondly, this paper studies the local attributes of music signals and generalizes and deduces their general features. Then the Lyapunov index of music is numerically simulated, and its energy spectrum is analyzed. It is proved that the method is weak to some extent. Through the music correlation dimension analysis, we find its inherent nonlinear characteristics. The nonlinear music signals corresponding to classical piano works are given in this paper. Finally, the correlation dimension is numerically simulated by differential operation. The results show that the nonlinear characteristics of this method are stable. |
| first_indexed | 2024-03-07T16:19:21Z |
| format | Article |
| id | doaj.art-fbf27140fe054e1abd4985c737b5dc07 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-25T00:55:34Z |
| publishDate | 2023-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-fbf27140fe054e1abd4985c737b5dc072024-03-11T10:05:46ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-07-01821735174410.2478/amns.2023.1.00276Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear EquationMa Chunyu01Music Academy of Baotou Teachers College, Baotou, 014030, ChinaMusical symbols are a good way of expressing human emotions and communication. It is a kind of nonlinear dynamic system with hysteresis. It isn’t easy to analyze its nonlinear characteristics by conventional methods. This paper divides it into several parts from the form of music. Secondly, this paper studies the local attributes of music signals and generalizes and deduces their general features. Then the Lyapunov index of music is numerically simulated, and its energy spectrum is analyzed. It is proved that the method is weak to some extent. Through the music correlation dimension analysis, we find its inherent nonlinear characteristics. The nonlinear music signals corresponding to classical piano works are given in this paper. Finally, the correlation dimension is numerically simulated by differential operation. The results show that the nonlinear characteristics of this method are stable.https://doi.org/10.2478/amns.2023.1.00276music teachingmusic simulationlyapunov indexcorrelation dimensionnonlinear00a65 |
| spellingShingle | Ma Chunyu Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation Applied Mathematics and Nonlinear Sciences music teaching music simulation lyapunov index correlation dimension nonlinear 00a65 |
| title | Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation |
| title_full | Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation |
| title_fullStr | Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation |
| title_full_unstemmed | Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation |
| title_short | Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation |
| title_sort | simulation and characteristic analysis of college music teaching based on nonlinear equation |
| topic | music teaching music simulation lyapunov index correlation dimension nonlinear 00a65 |
| url | https://doi.org/10.2478/amns.2023.1.00276 |
| work_keys_str_mv | AT machunyu simulationandcharacteristicanalysisofcollegemusicteachingbasedonnonlinearequation |